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Finding the Fourth Proportional to 13,630.88, 20,447.13 and 5,309.35

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Solution

The fourth proportional to 13,630.88, 20,447.13 and 5,309.35 is: 7,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.88 : 20,447.13 = 5,309.35 : x
  2. Step 2: Convert to fraction form
    13,630.88/20,447.13 = 5,309.35/x
  3. Step 3: Cross multiply
    13,630.88x = 20,447.13 × 5,309.35
  4. Step 4: Simplify right side
    13,630.88x = 108,560,969.67
  5. Step 5: Solve for x
    x = 108,560,969.67/13,630.88
  6. Step 6: Final answer
    x = 7,964.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.